A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain

Hong Du; Zhong Chen; Tiejun Yang

doi:10.1016/j.aml.2020.107014

A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain

Hong Du
, Zhong Chen^*
, Tiejun Yang

^*Corresponding author for this work

Guangdong Ocean University
Harbin Institute of Technology Weihai

Research output: Contribution to journal › Article › peer-review

21 Scopus citations

Abstract

In this paper, a meshless method in reproducing kernel space is proposed for solving VOTFA-DE on arbitrary domain. Advantages of the meshless method proposed could avoid effectively difficulties of constructing shape functions using known Mercer kernel and deal with arbitrary domains. And the accuracy is verified by two examples.

Original language	English
Article number	107014
Journal	Applied Mathematics Letters
Volume	116
DOIs	https://doi.org/10.1016/j.aml.2020.107014
State	Published - Jun 2021
Externally published	Yes

Keywords

Advection–diffusion equation
Mercer kernel
Meshless method
Reproducing kernel space
Variable-order time fractional differential equation

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10.1016/j.aml.2020.107014

Cite this

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title = "A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain",

abstract = "In this paper, a meshless method in reproducing kernel space is proposed for solving VOTFA-DE on arbitrary domain. Advantages of the meshless method proposed could avoid effectively difficulties of constructing shape functions using known Mercer kernel and deal with arbitrary domains. And the accuracy is verified by two examples.",

keywords = "Advection–diffusion equation, Mercer kernel, Meshless method, Reproducing kernel space, Variable-order time fractional differential equation",

author = "Hong Du and Zhong Chen and Tiejun Yang",

note = "Publisher Copyright: {\textcopyright} 2020 Elsevier Ltd",

year = "2021",

month = jun,

doi = "10.1016/j.aml.2020.107014",

language = "英语",

volume = "116",

journal = "Applied Mathematics Letters",

issn = "0893-9659",

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T1 - A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain

AU - Du, Hong

AU - Chen, Zhong

AU - Yang, Tiejun

PY - 2021/6

Y1 - 2021/6

N2 - In this paper, a meshless method in reproducing kernel space is proposed for solving VOTFA-DE on arbitrary domain. Advantages of the meshless method proposed could avoid effectively difficulties of constructing shape functions using known Mercer kernel and deal with arbitrary domains. And the accuracy is verified by two examples.

AB - In this paper, a meshless method in reproducing kernel space is proposed for solving VOTFA-DE on arbitrary domain. Advantages of the meshless method proposed could avoid effectively difficulties of constructing shape functions using known Mercer kernel and deal with arbitrary domains. And the accuracy is verified by two examples.

KW - Advection–diffusion equation

KW - Mercer kernel

KW - Meshless method

KW - Reproducing kernel space

KW - Variable-order time fractional differential equation

UR - https://www.scopus.com/pages/publications/85099238071

U2 - 10.1016/j.aml.2020.107014

DO - 10.1016/j.aml.2020.107014

M3 - 文章

AN - SCOPUS:85099238071

SN - 0893-9659

VL - 116

JO - Applied Mathematics Letters

JF - Applied Mathematics Letters

M1 - 107014

ER -

A meshless method in reproducing kernel space for solving variable-order time fractional advection–diffusion equations on arbitrary domain

Abstract

Keywords

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